Finding the Third Proportional to 1,269.42 and 1,826.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.42 : 1,826.30 = 1,826.30 : x
2. Step 2: Convert to fraction form
   1,269.42/1,826.30 = 1,826.30/x
3. Step 3: Cross multiply
   1,269.42x = 1,826.30 × 1,826.30
4. Step 4: Simplify right side
   1,269.42x = 3,335,360.28
5. Step 5: Solve for x
   x = 3,335,360.28/1,269.42
6. Step 6: Final answer
   x = 2,627.46